All Items 1 Collection 1 The Octagon 1 Contributor 1 Velleman, Daniel J. (Department of Mathematics and Statistics, Amherst College) 1 Topic 1 Random walks (Mathematics) 1 Part Of 1 The Amherst College Octagon 1 Genre 1 Articles 1 Subject 1 Random walks (Mathematics) 1 A drug-induced random walk Velleman, Daniel J. (Department of Mathematics and Statistics, Amherst College) The label on a bottle of pills says "Take one half pill daily." A natural way to proceed is as follows: Every day, remove a pill from the bottle at random. If it is a whole pill, break it in half, take one half, and return the other half to the bottle; if it is a half pill, take it. We analyze the history of such a pill bottle. A drug-induced random walk